Trudinger抛物方程的非负黏性解与弱解
Nonnegative Viscosity and Weak Solutions to Trudinger's Parabolic Equation
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中文总结 AI 辅助
本文研究Trudinger抛物方程，证明对于非负函数，黏性解与弱解等价。
中文摘要 AI 辅助
我们研究方程∂_t(|u|^{p-2}u)=div(|∇u|^{p-2}∇u)的黏性解与弱解之间的关系。我们证明，至少对于非负函数，这两个概念是等价的。
英文摘要
We study the relation between viscosity solutions and weak solutions of the equation $$\partial_t\left(|u|^{p-2}u\right)\,=\, \operatorname{div}(|\nabla u|^{p-2}\nabla u).$$ We prove that at least for non-negative functions these are equivalent concepts.
